Factors of 33

📊 Total Factors: 4
🔢 Prime Factors: 3, 11
✅ Number Type: Composite Number

What Are the Factors of 33?

The factors of 33 are 1, 3, 11, 33. A factor is a whole number that divides 33 exactly without leaving a remainder. These factors can be used to simplify fractions, solve math problems, and understand number relationships.

How to Find the Factors of 33

To find the factors of 33, divide the number by whole numbers starting from 1. If the result is a whole number with no remainder, that divisor is a factor.

33 ÷ 1 = 33
33 ÷ 3 = 11
33 ÷ 11 = 3
33 ÷ 33 = 1

Is 33 Divisible by Other Numbers?

A number is divisible by another number if the division leaves no remainder.

❌ 33 is not divisible by 2
✅ 33 is divisible by 3
❌ 33 is not divisible by 4
❌ 33 is not divisible by 5
❌ 33 is not divisible by 6
❌ 33 is not divisible by 7
❌ 33 is not divisible by 8
❌ 33 is not divisible by 9
❌ 33 is not divisible by 10

Real-Life Uses of Factors of 33

Factors of 33 are useful in mathematics, grouping objects, simplifying fractions, finding dimensions of rectangles, and solving division problems. Understanding factors helps students build a strong foundation in arithmetic and number theory.

All Factors of 33

1, 3, 11, 33

Factor Pairs of 33

• 1 × 33
• 3 × 11

Prime Factorization of 33

33 = 3 × 11

Worked Example: Finding Factors of 33

Step 1: Start testing numbers from 1 up to 33.

Step 2: Check which numbers divide 33 without leaving a remainder.

Step 3: The successful divisions are:

33 ÷ 1 = 33 (No remainder)
33 ÷ 3 = 11 (No remainder)
33 ÷ 11 = 3 (No remainder)
33 ÷ 33 = 1 (No remainder)

Answer: Therefore, the factors of 33 are 1, 3, 11, 33.

Number Facts Table

PropertyValue
Number33
Total Factors4
Largest Factor33
Smallest Factor1
Prime Factors3, 11
Even / OddOdd
Prime / CompositeComposite
Perfect SquareNo
Perfect CubeNo

Properties of 33

Even or Odd: Odd Number

Prime or Composite: Composite Number

Perfect Square: No

Perfect Cube: No

Unique Prime Factors: 3, 11

Interesting Facts About 33

• 33 is a composite number because it has more than two factors.
• 33 is an odd number.
• The prime factorization of 33 is 3 × 11.
• 33 has 4 total factors.

Is 33 Prime or Composite?

33 is a composite number because it has 4 factors.

Related Factors Pages

Factors of 28
Factors of 29
Factors of 30
Factors of 31
Factors of 32
Factors of 34
Factors of 35
Factors of 36
Factors of 37
Factors of 38

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Frequently Asked Questions

What are the factors of 33?
1, 3, 11, 33

How many factors does 33 have?
4

Is 33 a prime number?
No

What is the largest factor of 33?
33

What is the smallest factor of 33?
1

What are the prime factors of 33?
3, 11

Is 33 even or odd?
Odd

What is the factor pair of 33?
1 × 33, 3 × 11